K12n132
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-6 q^5+8 q^4-9 q^3+9 q^2-7 q+6-2 q^{-1} + q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^2-12 t+17-12 t^{-1} +4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^4+4 z^2+1 }[/math] |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6-a^2 z^4-4 z^4 a^{-2} +2 z^4 a^{-4} +7 z^4-4 a^2 z^2-7 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +12 z^2-3 a^2-4 a^{-2} +2 a^{-4} - a^{-6} +7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +5 z^9 a^{-3} +3 z^9 a^{-5} +a^2 z^8+3 z^8 a^{-4} +3 z^8 a^{-6} +z^8+a^3 z^7-10 z^7 a^{-1} -19 z^7 a^{-3} -9 z^7 a^{-5} +z^7 a^{-7} -7 a^2 z^6-15 z^6 a^{-2} -24 z^6 a^{-4} -12 z^6 a^{-6} -10 z^6-6 a^3 z^5-6 a z^5+13 z^5 a^{-1} +18 z^5 a^{-3} +z^5 a^{-5} -4 z^5 a^{-7} +12 a^2 z^4+28 z^4 a^{-2} +28 z^4 a^{-4} +13 z^4 a^{-6} +25 z^4+9 a^3 z^3+15 a z^3-z^3 a^{-1} -7 z^3 a^{-3} +5 z^3 a^{-5} +5 z^3 a^{-7} -8 a^2 z^2-19 z^2 a^{-2} -12 z^2 a^{-4} -5 z^2 a^{-6} -20 z^2-4 a^3 z-7 a z-3 z a^{-1} +z a^{-3} -z a^{-5} -2 z a^{-7} +3 a^2+4 a^{-2} +2 a^{-4} + a^{-6} +7 }[/math] |
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